The function that translates each point on the graph of y = mx + b so that the slope of the segment from the original point to the translated point is 4/3 is t(x) = 4/3x + b
How to determine the translation function
From the question, we have the following parameters that can be used in our computation:
y = mx + b
To transform y = mx + b to have a slope of 4/3, we simily multiply the slope coefficient by 4/(3m)
So, we have
y = mx * 4/(3m) + b
Evaluate the product
y = 4/3x + b
This means that the translation function is y = 4/3x + b
Question
Which function translates each point on the graph of y = mx + b so that the slope of the segment from the original point to the translated point is 4/3?
g(x) = m(x - 3) + b + 34
h(x) = m(x + 3) + b + 4
s(x) = 4/3mx + b
t(x) = 4/3x + b